0.3(7+t)=7.8t+0.6

Solution for 0.3(7+t)=7.8t+0.6 equation:

Simplifying
0.3(7 + t) = 7.8t + 0.6
(7 * 0.3 + t * 0.3) = 7.8t + 0.6
(2.1 + 0.3t) = 7.8t + 0.6

Reorder the terms:
2.1 + 0.3t = 0.6 + 7.8t

Solving
2.1 + 0.3t = 0.6 + 7.8t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-7.8t' to each side of the equation.
2.1 + 0.3t + -7.8t = 0.6 + 7.8t + -7.8t

Combine like terms: 0.3t + -7.8t = -7.5t
2.1 + -7.5t = 0.6 + 7.8t + -7.8t

Combine like terms: 7.8t + -7.8t = 0.0
2.1 + -7.5t = 0.6 + 0.0
2.1 + -7.5t = 0.6

Add '-2.1' to each side of the equation.
2.1 + -2.1 + -7.5t = 0.6 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + -7.5t = 0.6 + -2.1
-7.5t = 0.6 + -2.1

Combine like terms: 0.6 + -2.1 = -1.5
-7.5t = -1.5

Divide each side by '-7.5'.
t = 0.2

Simplifying
t = 0.2